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- isnt there only one unique outcome of iterated elimination?The dung beetle gets utility from consuming mud balls which are made out of mud and dung. Both inputs are measured in grams and perfectly divisible. Its utility from balls which contain m grams of mud and d grams of dung is u(m, d) = md. For reasons to do with the structural integrity of the balls, however, it cannot combine the two ingredients in very different quantities. The ratio of mud and dung it uses must fall between 1 : 2 and 2 : 1. Excess amounts of either ingredient are discarded at no cost to the dung beetle. (a) How much utility does the beetle get from the following bundles of mud and dung, (m, d)? i. (2,16). ii. (4,8). iii. (4,16). iv. (6,16/3). (b) Draw an indifference curve between mud and dung that represent the preferences of the dung beetle and gives the beetle a utility level of 32.The movie theater in Glendon has two types of customers: domestic students (group 1) and international students (group 2). At a price of p, cents, the number of movie tickets that domestic students are willing to buy per year is given by: q₁-170-0.7p₁. At a price of p₂ cents, the number of movie tickets that international students are willing to buy per year is given by: q₂-87-0.3p2. The total costs for the movie theater depend on the total number of tickets sold, 9₁+92, and are given by the following total cost function C(q₁+q₂)=(9₁ +9₂) ². Suppose that the movie theater can identify which students are domestic and which students are international, and students are unable to resell movie tickets to each other. This enables the theater to charge different prices to domestic vs international students. How do the cinema's profits change with this new pricing strategy? In other words, how much are the profits with uniform pricing, minus the profits with differentiated pricing?
- An Arrow-Debreu equilibrium occurs under the following assumption(s): (1) Consumers have a set of well-defined preferences (continuous, nonsatiated, and convex). (1I) Each consumer holds an initial endowment of the commodities, with a positive quantity of at least one commodity. (II) Production is increasing returns to scale. (iV) Production is decreasing returns to scale or constant returns to scale.: A) I and II B) I, II, and IV C) II D) Il and II 5. According to the following graph, at which point is the consumer choosing neither to borrow nor to save?:* Consumer's Budget Constraint Second-period consumptien C2 (11 + v2 Y2 Y2 First-period consumption O A) Point A OB) Point B OC) Point C OD) Point DSatiation preference is monotonic. True or False, why?The Revealed Preference Theory was formulated by- (A) Lionel Robbins (C) Joan Robinson (B) Paul Samuelson (D) Alfred Marshall
- Suppose you find that MU1(X1Xx2)=2x2 and MU₂(x1+x₂)=2x1. What is the rate at which the consumer is willing to trade good 2 for good 1 at bundle (2,4)? (Note: enter a positive number, i.e. enter the quantity of good 2 that the consumer is willing to give up for an additional-marginal-unit of good 1.) Question 20 Suppose you find that the expressions of the marginal utilities for a consumer are given by MU1 (1,2)= 2 and MU₂ (1,2)= 7. Then you can conclude that: This consumer has Cobb-Douglas tastes For this consumer good 1 and good 2 are perfect complements For this consumer good 1 and good 2 are perfect substitutes None of the above Question 21 Suppose a consumer is always willing to give up 5 units of good 2 for an additional unit of good 1. For this consumer: Good 1 and good 2 are perfect complements Good 1 and good 2 are perfect substitutes Good 1 and good 2 are both essential goods None of the aboveMarbella has 101 residents. All wear the same fancy clothes and each has the same utility function, u(m, b, B) = m + 14b − b2 − B/50, where m is the amount of macaroni (in kilograms) that he or she eats per day, b is the number of hours that he or she spends on the beach per day, and B is the total number of person-hours spent per day on the beach by other residents of Marbella. Each has an income of $10 per day and macaroni costs $1 per kilogram. The city council is considering a law that would limit the amount of time that any person can spend on the beach. How many hours per day should they allow in order to maximize the utility of a typical Marbellite? A. 6 B. 9 C. 7 D. 10 E. They could not possibly be made better off by legislation that limits their freedom to choose.The next two questions are based on the following information: Sallie produces specialty T-shirts that are sold at special events. For an upcoming event, she can sell each T-shirt at $20 per shirt. However, when the event ends, any unsold T-shirts will be sold at a clearance price of $4 per shirt. It costs Sally $8 to make a T-shirt. Sally's estimate of the demand is the following. Demand Probability 300 0.05 400 0.1 500 0.4 600 0.3 700 0.1 800 0.05 Fill in the blank: The critical ratio is $
- 3.7 Suppose that A> B> C> D and that the utilities of these alternatives satisfy U(A) + U (D)=U (B) + U(C). Is it true that U (B+C) is greater than U (A + D) because the former has a smaller variance? Why or why not?Next Friday, you plan to sell cakes at a bake sale to raise money for your school. You plan to charge $30 per cake, and you anticipate that you will sell 10 cakes. You can either purchase cakes to sell or bake them yourself. If you purchase the cakes, they will cost $25 each. If you bake your own cakes, your cost depends upon the number of cakes you bake, as shown in the table below. Number of cakes you bake Total cost of baked cakes ($) 0 0 1 10 2 22 3 36 4 52 5 70 6 90 7 112 8 136 9 162 10 190 a) How many cakes should you bake? How many cakes should you purchase? Bake ___ cake(s) and purchase ___ cake(s). b) Given your answer to part a, how much in total will the 10 cakes cost you? $ c) How much would it have cost you to bake all 10 cakes? $ d) How much would it have cost you to purchase all 10 cakes? $Diluted Happiness: Consider a relationship between a bartender and a customer. The bartender serves bourbon to the customer and chooses x ∈ [0, 1], which is the proportion of bourbon in the drink served, while 1− x is the proportion of water. The cost of supplying such a drink (standard 4-ounce glass) is cx, where c > 0. The customer, without knowing x, decides on whether or not to buy the drink at the market price p. If he buys the drink his payoff is vx − p, and the bartender’s payoff is p − cx. Assume that v>c and all payoffs are common knowledge. If the customer does not buy the drink he gets 0 and the bartender gets −cx. Because the customer has some experience, once the drink is bought and he tastes it, he learns the value of x, but this is only after he pays for the drink. a. Find all the Nash equilibria of this game. b. Now assume that the customer is a local, and the players perceive the game as repeated infinitely many times. Assume that each player tries to maximize…
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